Exam 11: Introduction to Hypothesis Testing

If a researcher rejects a true null hypothesis,she has made a(n)____________________ error.

For a given level of significance,if the sample size is increased,the power of the test will ____________________.

For a given level of significance α,if the sample size n is increased,the probability of a Type II error β will:

In a two-tail test for the population mean,if the null hypothesis is rejected when the alternative hypothesis is true:

For each of the following pairs of null and alternative hypotheses,determine whether or not they are statistically correct to conduct a hypothesis test. a.H₀: μ = 25,H₁: μ < 25 b.H₀: μ = 30,H₁: μ > 30 c.H₀: = 35,H₁: > 35 d.H₀: = 40,H₁: < 40 e.H₀: μ ≠ 60,H₁: μ = 60

A Type I error is represented by α; it is the probability of rejecting a true null hypothesis.

Watching the News A researcher claims viewers spend an average of 40 minutes per day watching the news.You think the average is higher than that.In testing your hypotheses H₀: μ = 40 vs.H₁: μ > 40,the following information came from your random sample of viewers: = 42 minutes,n = 25.Assume σ = 5.5,and α = 0.10. ​ ​ -{Watching the News Narrative} Set up the rejection region.

As the sample size increases,the operating characteristic curves drop down to zero at a(n)____________________ rate.

Production Filling ​A production filling operation has a historical standard deviation of 6 ounces.When in proper adjustment,the mean filling weight for the production process is 50 ounces.A quality control inspector periodically selects at random 36 containers and uses the sample mean filling weight to see if the process is in proper adjustment. ​ ​ -{Production Filling Narrative} State the null and alternative hypotheses.